Lipschitz-Volume rigidity on limit spaces with Ricci curvature bounded from below

We prove a Lipschitz-Volume rigidity theorem for the non-collapsed Gromov-Hausdorff limits of manifolds with Ricci curvature bounded from below. This is a counterpart of the Lipschitz-Volume rigidity in Alexandrov geometry

Cosmology-Independent Distance Moduli of 42 Gamma-Ray Bursts between Redshift of 1.44 and 6.60

This report is an update and extension of our paper accepted for publication in ApJ (arXiv:0802.4262). Since objects at the same redshift should have the same luminosity distance and the distance moduli of type Ia supernovae (SNe Ia) obtained directly from observations are completely cosmology independent, we obtain the distance modulus of a gamma-ray burst (GRB) at a given redshift by interpolating or iterating from the Hubble diagram of SNe Ia. Then we calibrate five GRB relations without assuming a particular cosmological model, from different regression methods, and construct the GRB Hubble diagram to constrain cosmological parameters. Based upon these relations we list the cosmology-independent distance moduli of 42 GRBs between redshift of 1.44 and 6.60, with the 1-$\sigma$ uncertainties of 1-3%.Comment: 6 pages, 2 figures, 3 tables. To appear in the proceedings of "2008 Nanjing GRB conference", Nanjing, 23-27 June 200

Monotonicity Results for Arithmetic Means of Concave and Convex Functions

By majorization approaches, some known results on monotonicity of the arithmetic means of convex and concave functions are proved and generalized once again

Applying Multiple Streams Theoretical Framework to College Matriculation Policy Reform for Children of Migrant Workers in China

Pre-decision, as the first step in the process of public policy-making, includes agenda setting and alternative specification. In order to make a better understanding of Chinese pre-decision processes and explore Chinese special characteristics presented in the processes of pre-decision, the article researches the case of college matriculation policy reform for children of migrant workers by applying multiple streams theoretical framework in the Chinese context. It analyzes how the political stream can move this policy reform problem up on the governmental agenda directly and points out that it always fails to enter the decision agenda due to the absence of the policy stream. The article also argues that a surviving proposal in our case not only need to satisfy necessary criteria, but to consider obstructions of Chinese particular institutions. Finally, the article concludes that the multiple streams theory is generally applicable in China and proves the significance that the policy stream has been ready to wait for the link of other two streams. Through this case research, we can provide theoretical supports and practical experiences for Chinese governmental officials in the processes of their pre-decision and make them optimize the processes well in future. Keywords: multiple streams, policy window, college matriculation policy reform (CMPR), agenda setting, alternative